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This statistic, introduced by Hurst [12] when he studied hydrology data of the Nile river and reservoir design, plays an important role in testing statistical dependence of a sequence of random variables and has been used in many practical subjects such as hydrology, geophysics and economics, etc.
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Mean Pearson coefficient shows the cross-correlation or linear dependence of all sequences in a set.
However, over a wider domain, it is possible to approximate the hindered settling factor vs solids fraction dependence via a sequence of straight-line relations, each taken over a narrow interval of solids fraction.
(For instance, if we consider six squares with edges 1, 2, 3, 4, 5, 6, then the variation of P means 4, 8, 12, 16, 20, 24, whereas the variation of A means 1, 4, 9, 16, 25, 36. In the considered situation, it is obvious that the dependence of the P sequence on the A sequence is far from linearity).
Third, our model allows systematic variation of the phase locking of cells against the theta rhythm, leading to novel predictions for sequence properties, including a dependence of the decoded sequence path length and propagation speed on phase locking.
The aim was to determine those properties of the above-mentioned analytes responsible for the retention dependence of the sequence.
Much empirical work has been devoted to investigate the condition dependence of arrival sequence of migrants and characteristics of individuals that influence arrival time from migration.
DOI: http://dx.doi.org/10.7554/eLife.03542.013 10.7554/eLiFigure42.014 Figure 5 figure supplement 1. Dependence of decoded sequence path lengths, fast slopes, and slow slopes on phase locking.
This is so by virtue of the dependence of the protein sequence of amino acids on the sequence of DNA bases.
This can be very helpful in examining the orientation-dependence of a cis-acting sequence or in generating sense and antisense RNA probes.
For unbranched structures, the model is scored using a statistical potential estimated from the available 3D structures by counting the relative frequencies of base pairs, short unbranched loops of particular shapes in dependence of their sequences and combinations of loops with a common base pair.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com